Jan 27, 2020  
Graduate Record 2007-2008 
    
Graduate Record 2007-2008 [ARCHIVED RECORD]

AM 714 - Nonlinear Elasticity Theory


Describes the theory of finite (nonlinear) elasticity governing large deformations of highly deformable elastic solids. New features not present in the linear theory are emphasized. These include instabilities (both material and geometric), normal stress effects, non-uniqueness, bifurcations and stress singularities. A variety of illustrative boundary value problems will be discussed which exhibit some of the foregoing features. Both physical and mathematical implications considered. The results are applicable to rubber-like and biological materials and the theory serves as a prototype for more elaborate nonlinear theories of mechanics of continuous media. Cross-listed as APMA 714. (SI)

Prerequisites & Notes
Prerequisite: AM 602.

Credits: 3